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Finding the Fourth Proportional to 376,426.42, 519,469.40 and 206,671.48

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Solution

The fourth proportional to 376,426.42, 519,469.40 and 206,671.48 is: 285,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,426.42 : 519,469.40 = 206,671.48 : x
  2. Step 2: Convert to fraction form
    376,426.42/519,469.40 = 206,671.48/x
  3. Step 3: Cross multiply
    376,426.42x = 519,469.40 × 206,671.48
  4. Step 4: Simplify right side
    376,426.42x = 107,359,509,712.71
  5. Step 5: Solve for x
    x = 107,359,509,712.71/376,426.42
  6. Step 6: Final answer
    x = 285,207.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.